Let's solve each equation step by step:

1) 17 + (5-2x) = -2

First, simplify the equation by combining like terms:

17 + 5 - 2x = -2

22 - 2x = -2

Next, isolate the variable by subtracting 22 from both sides:

-2x = -2 - 22

-2x = -24

Finally, divide both sides by -2 to solve for x:

x = -24 / -2

x = 12

2) -43 + (37-6x) = -30

First, simplify the equation by combining like terms:

-43 + 37 - 6x = -30

-6x - 6 = -30

Next, isolate the variable by adding 6 to both sides:

-6x = -30 + 6

-6x = -24

Finally, divide both sides by -6 to solve for x:

x = -24 / -6

x = 4

3) 12 - 2(x-4) = 13.2^2

First, simplify the equation by distributing the 2:

12 - 2x + 8 = 13.2^2

Next, combine like terms:

20 - 2x = 13.2^2

Now, square 2:

20 - 2x = 13 * 2 * 2

20 - 2x = 52

Next, isolate the variable by subtracting 20 from both sides:

-2x = 52 - 20

-2x = 32

Finally, divide both sides by -2 to solve for x:

x = 32 / -2

x = -16

4) 28 + (3x+7) = 20

First, simplify the equation by combining like terms:

28 + 3x + 7 = 20

35 + 3x = 20

Next, isolate the variable by subtracting 35 from both sides:

3x = 20 - 35

3x = -15

Finally, divide both sides by 3 to solve for x:

x = -15 / 3

x = -5

5) 2x - 50 = (-4) * 3^2

First, simplify the equation by solving the exponent:

2x - 50 = (-4) * 9

Next, simplify the equation by multiplying:

2x - 50 = -36

Next, isolate the variable by adding 50 to both sides:

2x = -36 + 50

2x = 14

Finally, divide both sides by 2 to solve for x:

x = 14 / 2

x = 7